Masking Quantum Information on Hyperdisks
arXiv:1909.11256 · doi:10.1103/PhysRevA.102.042404
Abstract
Masking information is a protocol that encodes quantum information into a bipartite entangled state while the information is completely unknown to local systems. This paper explicitly studies the structure of the set of maskable states and its relation to hyperdisks. We prove that although the qubit states which can be masked must locate on a single hyperdisk, the set of maskable states can consist of two or more hyperdisks for high-dimensional cases. Our results may shed light on several research fields of quantum information theory, such as the structure of entangled states and the local discrimination of bipartite states.
arXiv comment7+4 Pages, 1 Figure, Published version
References in corpus (12)
- Quantum entanglement
- Quantum secret sharing
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- On the Theory of Quantum Secret Sharing
- Quantum information cannot be completely hidden in correlations: implications for the black-hole information paradox
- Masking quantum information is impossible
- Creation of superposition of unknown quantum states
- Masking quantum information in multipartite scenario
- Complete characterization of qubit masking
- Mutually unbiased bases and generalized Bell states
- Deterministic versus probabilistic quantum information masking
- Local unitary classification for sets of generalized Bell states
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